The $(f^1,D^0)$ minimaxmax optimum conjecture

Let $\mathcal F$ and $\mathcal D$ be the classes of admissible loads and admissible domains defined in the paper by the referenced formulation. Consider the minimaxmax problem, which selects a load and a domain according to the worst-case torsional gap.

Minimaxmax optimum conjecture. The optimum of the minimaxmax problem is the couple $(f^1,D^0)$.

This conjecture is presented as one of the paper's most ambitious goals and is supported by numerical computations, specifically the table discussed immediately before the statement. Its resolution is not supplied in the source.